PetIGA: A framework for high-performance isogeometric analysis

Lisandro Dalcin, N. Collier, Philippe Vignal, Adriano Mauricio Cortes, Victor M. Calo

Research output: Contribution to journalArticlepeer-review

114 Scopus citations


We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framework on PETSc, a high-performance library for the scalable solution of partial differential equations, which simplifies the development of large-scale scientific codes, provides a rich environment for prototyping, and separates parallelism from algorithm choice. We describe the implementation of PetIGA, and exemplify its use by solving a model nonlinear problem. To illustrate the robustness and flexibility of PetIGA, we solve some challenging nonlinear partial differential equations that include problems in both solid and fluid mechanics. We show strong scaling results on up to 40964096 cores, which confirm the suitability of PetIGA for large scale simulations.
Original languageEnglish (US)
Pages (from-to)151-181
Number of pages31
JournalComputer Methods in Applied Mechanics and Engineering
StatePublished - May 26 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We would like to acknowledge the open source software packages that made this work possible: PETSc [24], NumPy [76], matplotlib [77], IPython [78]. We would like to thank Lina María Bernal Martinez, Gabriel Andres Espinosa Barrios, Federico Fuentes-Caycedo, Juan Camilo Mahecha Zambrano for their work on the hyper-elasticity implementation as a final project to the Non-linear Finite Element class taught by V.M. Calo and N. Collier for the Mechanical Engineering Department at Universidad de Los Andes in Bogotá, Colombia in July 2012. We would like to thank Adel Sarmiento Rodriguez for the visualization work on figures 12 and 13.

This work is part of the European Union’s Horizon 2020 research and innovation programme of the Marie Skłodowska-Curie grant agreement No. 644602. This work was also supported by the Center for Numerical Porous Media at King Abdullah University of Science and Technology and Agencia Nacional de Promoción Científica y Tecnológica grants PICT 0938–13, PICT 2660–14 and PICT-E 0191–14.

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications


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